ON THE RANGE CLOSURE OF AN ELEMENTARY OPERATOR

Title & Authors
ON THE RANGE CLOSURE OF AN ELEMENTARY OPERATOR
Canavati Jose Angel; Djordjevic Slavisa V.; Duggal Bhagwati Prasad;

Abstract
Let $\small{A, B{\in}B(H)}$ be Hilbert space contractions, and let $\small{{\Delta}_{AB}}$ be the elementary operator $\small{{\Delta}_{AB}:X{\rightarrow}AXB-X}$. A number of conditions which are equivalent to '$\small{{\Delta}_{AB}}$ has closed range' are proved.
Keywords
elementary operators;quasinilpotent part;numerical range;pole;orthogonality;
Language
English
Cited by
1.
Various Notions of Orthogonality in Normed Spaces, Acta Mathematica Scientia, 2013, 33, 5, 1387
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